messages listlengths 1 1 | ground_truth stringlengths 1 5 | dataset stringclasses 1 value |
|---|---|---|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -1, 0, 2],\n [-1, 1, 2, 4],\n [0, 2, -4, 1],\n [2, 4, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 312 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, 0, -1, 0],\n [0, -4, 0, 0],\n [-1, 0, -4, -1],\n [0, 0, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 905 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -4, 0, 2],\n [-1, 3, 2, 3],\n [-4, 1, 0, -3],\n [-3, -3, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5776 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 2, -1, 3],\n [2, 4, 0, 2],\n [-1, 0, 4, 0],\n [3, 2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 15012 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -1, 2, -2],\n [0, -1, -4, -3],\n [-4, 2, -4, 1],\n [2, 1, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -81 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[3, 0, -2, -2],\n [0, 3, -4, -2],\n [-2, -4, -4, 1],\n [-2, -2, 1, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1208 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 2, 2, 0],\n [2, 1, 4, 1],\n [2, 4, 1, -2],\n [0, 1, -2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 456 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -1, 0, -2],\n [-1, 0, -1, 1],\n [0, -1, -4, -2],\n [-2, 1, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1635 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[-4, 0, 0, -1],\n [0, 4, -2, -4],\n [0, -2, 3, 2],\n [-1, -4, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 16 | MATH |
[
{
"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[1, 0, 1, -2],\n [-3, 0, -2, 3],\n [3, -2, 4, 2],\n [4, -3, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -31 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -4, -3, -1],\n [4, 4, 0, 4],\n [-1, -1, -1, 1],\n [1, -4, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 740 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[0, -1, 0, 4],\n [-4, -3, -2, 4],\n [-3, 0, 2, -1],\n [0, 2, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 256 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 1, -2, 1],\n [3, -1, 3, -1],\n [-4, -1, 3, 1],\n [-4, -2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -227 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -4, -4, -4],\n [-4, 4, -4, -2],\n [-4, 0, -3, 3],\n [0, 4, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2010 | MATH |
[
{
"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[2, -2, 0, -1],\n [-2, 4, -2, 0],\n [0, -2, -3, -4],\n [-1, 0, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 8 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[3, 0, 2, 0],\n [-4, 0, 3, 1],\n [1, -4, 3, 0],\n [-1, 4, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 761 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 2, 1, 0],\n [2, -3, -2, -2],\n [1, -2, -1, 0],\n [0, -2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 979 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 0, -2, 0],\n [0, -3, 2, -2],\n [-2, 2, -1, 2],\n [0, -2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1166 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[-3, 2, 3, -2],\n [2, 2, 1, 4],\n [3, 1, 3, -2],\n [-2, 4, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 150 | MATH |
[
{
"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[-3, 2, -2, 0],\n [2, 1, -2, 1],\n [-2, -2, 1, 1],\n [0, 1, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 22 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 3, -2, 2],\n [3, -2, -3, 2],\n [-1, -3, 4, -1],\n [3, 0, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1374 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -2, 2, 0],\n [-2, 0, 3, 0],\n [2, 3, 3, 0],\n [0, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 168 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[3, 2, 2, 0],\n [2, -2, 1, 4],\n [2, 1, 3, 0],\n [0, 4, 0, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1055 | MATH |
[
{
"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[1, -2, -4, -1],\n [1, 4, 0, 3],\n [-1, 1, 3, 0],\n [3, -1, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -9 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[-1, 3, -2, -3],\n [3, 3, 0, 4],\n [-2, 0, 2, -2],\n [-3, 4, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1076 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -1, -2, -4],\n [1, -4, 0, -2],\n [4, 4, -2, -2],\n [-3, 1, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 673 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 4, -2, 0],\n [4, 0, -2, 4],\n [-2, -2, 2, 0],\n [0, 4, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 7488 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[4, 3, 2, -4],\n [-3, 1, 0, 0],\n [4, 0, 1, -2],\n [1, -4, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 56 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 2, 0, 0],\n [2, 1, 1, 0],\n [0, 1, -2, -2],\n [0, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -91 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 4, -3, 2],\n [-2, -3, 4, 0],\n [2, -1, -1, 4],\n [-4, -2, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2943 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 0, 2, 3],\n [0, 2, 0, -2],\n [2, 0, -2, 1],\n [3, -2, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2940 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 2, 2, 3],\n [2, -1, -2, 2],\n [2, -2, -1, -2],\n [3, 2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1272 | MATH |
[
{
"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[4, 1, -2, 3],\n [-2, 2, -2, -1],\n [3, 2, 2, 4],\n [-1, 0, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -126 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 1, -4, 1],\n [0, 1, -1, 4],\n [1, 0, -3, 1],\n [2, 0, -3, 0]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 30 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 0, -1, 2],\n [0, 2, 0, 0],\n [-1, 0, -2, 2],\n [2, 0, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 115 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -2, 1, 0],\n [-2, 4, 2, 0],\n [1, 2, 1, -2],\n [0, 0, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 88 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[3, -3, -3, -1],\n [1, 2, 4, 0],\n [-3, 1, 2, -2],\n [0, -4, 2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1027 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -3, 0, 3],\n [-2, 2, 3, -4],\n [4, -2, 2, -4],\n [3, 3, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 72 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 0, -1, -2],\n [0, -1, -2, -1],\n [-1, -2, -4, 2],\n [-2, -1, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1305 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 3, -2, 4],\n [3, 1, -1, 0],\n [-2, -1, 3, -2],\n [4, 0, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 10179 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -2, 0, -2],\n [-2, -3, 2, 2],\n [0, 2, 4, -2],\n [-2, 2, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -459 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[-3, 0, 0, 4],\n [0, -4, -2, 0],\n [0, -2, 4, 0],\n [4, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 0 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 1, -3, 0],\n [1, 4, 0, 2],\n [-3, 0, 1, 1],\n [0, 2, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 484 | MATH |
[
{
"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[2, 2, 1, -2],\n [2, -4, -1, 0],\n [1, -1, 1, 0],\n [-2, 0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 45 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -1, -3, 3],\n [1, -1, 1, -3],\n [4, 3, 2, 2],\n [1, 0, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1533 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 3, 2, -4],\n [-4, 1, 3, -2],\n [2, 2, 2, 4],\n [1, 3, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1076 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[1, -1, -3, -4],\n [-3, 4, 0, -3],\n [-1, 4, 4, -2],\n [1, -3, -1, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -28 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 2, -2, -1],\n [2, -1, -2, -1],\n [-2, -2, 4, -4],\n [-1, -1, -4, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5473 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 1, -2, -1],\n [1, -4, 1, -2],\n [-2, 1, 1, 0],\n [-1, -2, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4505 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -3, 0, 0],\n [-3, 0, -2, -2],\n [0, -2, 3, 2],\n [0, -2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -61 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[1, -1, -1, 0],\n [-1, 4, 4, 2],\n [-1, 4, -1, 0],\n [0, 2, 0, 1]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -138 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[2, -3, -4, 4],\n [0, 4, 4, 3],\n [0, -2, 3, -1],\n [-2, -4, -1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -2086 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, -4, -4, -2],\n [3, -2, -4, 0],\n [1, -4, 0, -2],\n [2, 0, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -5360 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, -4, 0, 4],\n [-3, -2, 2, 0],\n [-1, -2, -3, -1],\n [-3, 2, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6007 | MATH |
[
{
"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[2, 1, 2, 0],\n [1, -4, -3, -3],\n [2, -3, 1, 0],\n [0, -3, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1563 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 1, 3, -4],\n [-4, 4, 1, 3],\n [1, -2, 3, -4],\n [-4, 4, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -130 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, 2, 0, 0],\n [2, -1, 0, -4],\n [0, 0, -1, -2],\n [0, -4, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4660 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 0, -2, 0],\n [0, -2, -1, 0],\n [-2, -1, -2, -2],\n [0, 0, -2, 3]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -14 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -4, -2, 1],\n [0, -3, 2, 0],\n [-2, -1, 2, -2],\n [3, -2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -62 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -2, -2, 0],\n [-2, -3, 1, 0],\n [-2, 1, 4, 0],\n [0, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -47 | MATH |
[
{
"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-4, 2, 0, -1],\n [2, 1, 2, -2],\n [0, 2, 4, 1],\n [-1, -2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 40 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[3, 0, -4, 0],\n [0, 2, 0, 0],\n [-4, 0, 2, -2],\n [0, 0, -2, -1]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -996 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[2, 0, -1, -4],\n [1, 2, -1, 3],\n [0, -4, -1, -4],\n [-4, 3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 100 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, -2, 2, 3],\n [3, -2, -2, -4],\n [2, -1, 2, 0],\n [4, -2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 642 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[-3, -3, 1, 2],\n [-3, 3, 0, -1],\n [1, 0, -2, 2],\n [2, -1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 559 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -2, 0, -3],\n [-3, 2, 4, -2],\n [-1, 4, -4, 1],\n [4, 3, -4, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -362 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 0, -2, -3],\n [2, -4, 0, -3],\n [1, 0, -1, 2],\n [4, 4, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 186 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -2, -3, -3],\n [4, 2, 2, 2],\n [-4, 4, -2, 4],\n [2, 1, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -53 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 2, 0, 2],\n [2, 2, -2, 4],\n [0, -2, -3, 1],\n [2, 4, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 7672 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -2, -1, -1],\n [-1, 1, 2, -3],\n [-3, -3, 2, 4],\n [-1, -4, -4, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5381 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 0, 0, -2],\n [0, 4, -2, 0],\n [0, -2, 3, -3],\n [-2, 0, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -190 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[-2, -2, -3, 1],\n [-4, 0, -4, -1],\n [-3, 3, -2, -1],\n [-1, -4, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -97 | MATH |
[
{
"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[-1, 2, -2, 2],\n [2, 3, 3, 2],\n [-2, 3, 4, -4],\n [2, 2, -4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 27 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 1, 4, -3],\n [4, 1, -1, 1],\n [0, -3, -1, 2],\n [-4, 4, -1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -110 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 0, -3, -3],\n [0, 1, 0, 3],\n [-3, 0, -3, 1],\n [-3, 3, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -140 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, 0, -2, -4],\n [0, -4, -3, 0],\n [-2, -3, 0, 2],\n [-4, 0, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 9802 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 3, -1, 4],\n [-3, 0, 0, 3],\n [-2, -1, 2, 4],\n [4, 2, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 108 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[3, 2, -2, 2],\n [2, 2, 0, 2],\n [-2, 0, -3, 1],\n [2, 2, 1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1047 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, -4, 3, -4],\n [4, 3, 1, 3],\n [2, -3, 0, 1],\n [1, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -930 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 2, -2, -4],\n [2, -1, 2, 2],\n [-2, 2, -2, -2],\n [-4, 2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4430 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 3, 0, 1],\n [3, -3, -1, 1],\n [0, -1, 1, -1],\n [1, 1, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2654 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -3, 4, 1],\n [1, 1, -1, 3],\n [-1, -3, 1, 0],\n [-3, -2, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 394 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 1, 1, 1],\n [-4, -1, 3, -1],\n [1, -4, 4, 4],\n [3, 2, -2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2147 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[2, 2, 0, -1],\n [2, -1, -2, 0],\n [0, -2, -2, 0],\n [-1, 0, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 295 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 0, 2, 2],\n [0, -3, 0, 4],\n [2, 0, 3, -4],\n [2, 4, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 220 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 0, 0, 4],\n [0, 3, -1, 0],\n [0, -1, -1, 4],\n [4, 0, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6496 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 0, 2, -3],\n [0, 3, 4, 0],\n [2, 4, -3, 1],\n [-3, 0, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 888 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 3, -2, 2],\n [3, -2, -4, 1],\n [-2, -4, -4, 0],\n [2, 1, 0, -4]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1338 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-1, -1, 2, 0],\n [-3, 3, 0, 4],\n [-3, 3, -1, 4],\n [3, 2, -4, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -1 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -1, -4, 2],\n [-1, -1, -2, 0],\n [-4, -2, -4, -2],\n [2, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -988 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 3, -1, 4],\n [3, -2, -4, 0],\n [-1, -4, 3, 0],\n [4, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1293 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, -1, -2, 2],\n [-1, -3, 2, -4],\n [-2, 2, 1, 0],\n [2, -4, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1107 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 1) of the result:\nA =\n[[2, 4, 0, -2],\n [4, -3, 0, 0],\n [0, 0, 4, 2],\n [-2, 0, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -368 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 3, 0, 1],\n [3, -1, 0, 0],\n [0, 0, 3, -4],\n [1, 0, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -120 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, -2, -2, -1],\n [-2, 0, -2, -2],\n [-2, -2, 2, 1],\n [-1, -2, 1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5476 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 2, 3, -1],\n [2, -2, 3, 1],\n [3, 3, -1, 2],\n [-1, 1, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 631 | MATH |
[
{
"content": "Find the value at position (1, 4) of the 3th power of the matrix:\n[[1, 1, -2, 0],\n [1, 0, -1, -1],\n [-2, -1, 4, -2],\n [0, -1, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 25 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[3, 3, -4, -2],\n [1, -3, 3, -3],\n [-3, 1, 2, 0],\n [4, -3, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -78 | MATH |
[
{
"content": "What is the value at position (4, 4) of the matrix A^3 where A is:\n[[0, -4, -2, 0],\n [-4, 1, 2, 2],\n [-2, 2, 0, 0],\n [0, 2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 1, 3, 0],\n [0, 4, 0, 2],\n [2, 0, 1, -3],\n [1, -4, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2471 | MATH |
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